On a class of topological quantum field theories in three-dimensions

Asano, Masako

doi:10.1142/S0217751X96002121

On a class of topological quantum field theories in three-dimensions

Masako Asano
(
- Tokyo Inst. Tech.
)

Nov, 1995

22 pages

Published in:

Int.J.Mod.Phys.A 11 (1996) 4577-4596

e-Print:

hep-th/9511044 [hep-th]

DOI:

10.1142/S0217751X96002121

Report number:

TIT-HEP-300

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Abstract:

We investigate the Chung-Fukuma-Shapere theory, or Kuperberg theory, of three-dimensional lattice topological field theory. We construct a functor which satisfies the Atiyah's axioms of topological quantum field theory by reformulating the theory as Turaev-Viro type state-sum theory on a triangulated manifold. The theory can also be extended to give a topological invariant of manifolds with boundary.

Note:

22 pages, LaTeX, 9 ps figures included

field theory: topological
lattice field theory
dimension: 3
partition function
geometry

References(14)

Figures(0)

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